dBm与功率(w)换算关系!

dBm与功率(w)换算关系!

dBm是一个表示功率绝对值的值(也可以认为是以1mW功率为基准的一个比值),

计算公式为:dBm=10log(功率值/1mw)

wW=power(10,dBm/10)

W=(power(10,dBm/10))/1000

一、粗略计算方法

这里将dBm转换为W的口算规律是要先记住“1个基准”和“2个原则”:

“1个基准”:30dBm=1W

“2个原则”:1)+3dBm,功率乘2倍;-3dBm,功率乘1/2|

举例:33dBm=30dBm+3dBm=1W×2=2W

27dBm=30dBm-3dBm=1W×1/2=0.5W

2)+10dBm,功率乘10倍;-10dBm,功率乘1/10

举例:40dBm=30dBm+10dBm=1W×10=10W

20dBm=30dBm-10dBm=1W×0.1=0.1W

以上可以简单的记作:30是基准,等于1W整,互换不算难,口算可完成。加3乘以2,加10乘以10;减3除以2,减10除以10。

几乎所有整数的dBm都可用以上的“1个基准”和“2个原则”转换为W。

例1:44dBm=?W

44dBm=30dBm+10dBm+10dBm-3dBm-3dBm

=1W×10×10×1/2×1/2

=25W

例2:32dBm=?

32dBm=30dBm+3dBm+3dBm+3dBm+3dBm-10dBm

=1W×2×2×2×2×0.1

=1.6W

计算技巧:+1dBm和+2dBm的计算技巧

+1dBm=+10dBm-3dBm-3dBm-3dBm

=X×10×1/2×1/2×1/2

=X×1.25

+2dBm=-10dBm+3dBm+3dBm+3dBm+3dBmw

=X×0.1×2×2×2×2

=X×1.6

一般来讲,在工程中,dBm和dBm(或dBw和dBw)之间只有加减,没有乘除。而用得最多的是减法:dBm减

dBm 实际上是两个功率相除,信号功率和噪声功率相除就是信噪比(SNR)。dBm加dBm

实际上是两个功率相乘。

一、精确计算方法

计算公式为:dBm=10log(功率值/1mw)

wW=power(10,dBm/10)

W=(power(10,dBm/10))/1000

功率-》dBm的换算

dBmmw dBmmw dBmW dBmW

-100

0.0000000001000000

-50

0.0000100000000000

0

0.001

50

100.000

-990.0000000001258925

-490.0000125892541179

10.001

51125.893

-98

0.0000000001584893

-48

0.0000158489319246

2

0.002

52

158.489

-970.0000000001995262

-470.0000199526231497

30.002

53199.526

-96

0.0000000002511886

-46

0.0000251188643151

4

0.003

54

251.189

-950.0000000003162278

-450.0000316227766017

50.003

55316.228

-94

0.0000000003981072

-44

0.0000398107170553

6

0.004

56

398.107

-930.0000000005011872

-430.0000501187233627

70.005

57501.187

-92

0.0000000006309573

-42

0.0000630957344480

8

0.006

58

630.957

-910.0000000007943282

-410.0000794328234724

90.008

59794.328

-90

0.0000000010000000

-40

0.0001000000000000

10

0.010

60

1000.000

-890.0000000012589254

-390.0001258925411794

110.013

611258.925

-88

0.0000000015848932

-38

0.0001584893192461

12

0.016

62

1584.893

-870.0000000019952623

-370.0001995262314969

130.020

631995.262

-86

0.0000000025118864

-36

0.0002511886431510

14

0.025

64

2511.886

-850.0000000031622777

-350.0003162277660168

150.032

653162.278

-84

0.0000000039810717

-34

0.0003981071705535

16

0.040

66

3981.072

-830.0000000050118723

-330.0005011872336273

170.050

675011.872

-82

0.0000000063095734

-32

0.0006309573444802

18

0.063

68

6309.573

-810.0000000079432823

-310.0007943282347243

190.079

697943.282

-80

0.0000000100000000

-30

0.0010000000000000

20

0.100

70

10000.000

-790.0000000125892541

-290.0012589254117942

210.126

7112589.254

-78

0.0000000158489319

-28

0.0015848931924611

22

0.158

72

15848.932

-770.0000000199526231

-270.0019952623149689

230.200

7319952.623

-76

0.0000000251188643

-26

0.0025118864315096

24

0.251

74

25118.864

-750.0000000316227766

-250.0031622776601684

250.316

7531622.777

-74

0.0000000398107171

-24

0.0039810717055350

26

0.398

76

39810.717

-730.0000000501187234

-230.0050118723362727

270.501

7750118.723

-72

0.0000000630957344

-22

0.0063095734448019

28

0.631

78

63095.734

-710.0000000794328235

-210.0079432823472428

290.794

7979432.823

-70

0.0000001000000000

-20

0.0100000000000000

30

1.000

80

100000.000

-690.0000001258925412

-190.0125892541179417

311.259

81125892.541

-68

0.0000001584893192

-18

0.0158489319246111

32

1.585

82

158489.319

-670.0000001995262315

-170.0199526231496888

331.995

83199526.231

-66

0.0000002511886432

-16

0.0251188643150958

34

2.512

84

251188.643

-650.0000003162277660

-150.0316227766016838

353.162

85316227.766

-64

0.0000003981071706

-14

0.0398107170553497

36

3.981

86

398107.171

-630.0000005011872336

-130.0501187233627272

375.012

87501187.234

-62

0.0000006309573445

-12

0.0630957344480193

38

6.310

88

630957.344

-610.0000007943282347

-110.0794328234724281

397.943

89794328.235

-60

0.0000010000000000

-10

0.1000000000000000

40

10.000

90

1000000.000

-590.0000012589254118

-90.1258925411794170

4112.589

911258925.412

-58

0.0000015848931925

-8

0.1584893192461110

42

15.849

92

1584893.192

-570.0000019952623150

-70.1995262314968880

4319.953

931995262.315

-56

0.0000025118864315

-6

0.2511886431509580

44

25.119

94

2511886.432

-550.0000031622776602

-50.3162277660168380

4531.623

953162277.660

-54

0.0000039810717055

-4

0.3981071705534970

46

39.811

96

3981071.706

-530.0000050118723363

-30.5011872336272720

4750.119

975011872.336

-52

0.0000063095734448

-2

0.6309573444801930

48

63.096

98

6309573.445

-510.0000079432823472

-10.7943282347242810

4979.433

997943282.347

dBm->功率的换算

mw

dBm

mw

dBm

W

dBm

W

dBm

1

0.00

51

17.08

0.1

20.00

42

46.23

2

3.01

52

17.16

0.2

23.01

43

46.33

3

4.77

53

17.24

0.3

24.77

44

46.43

4

6.02

54

17.32

0.4

26.02

45

46.53

5

6.99

55

17.40

0.5

26.99

46

46.63

6

7.78

56

17.48

0.6

27.78

47

46.72

7

8.45

57

17.56

0.7

28.45

48

46.81

8

9.03

58

17.63

0.8

29.03

49

46.90

9

9.54

59

17.71

0.9

29.54

50

46.99

10

10.00

60

17.78

1

30.00

51

47.08

11

10.41

61

17.85

2

33.01

52

47.16

12

10.79

62

17.92

3

34.77

53

47.24

13

11.14

63

17.99

4

36.02

54

47.32

14

11.46

64

18.06

5

36.99

55

47.40

15

11.76

65

18.13

6

37.78

56

47.48

16

12.04

66

18.20

7

38.45

57

47.56

17

12.30

67

18.26

8

39.03

58

47.63

18

12.55

68

18.33

9

39.54

59

47.71

19

12.79

69

18.39

10

40.00

60

47.78

20

13.01

70

18.45

11

40.41

61

47.85

21

13.22

71

18.51

12

40.79

62

47.92

22

13.42

72

18.57

13

41.14

63

47.99

23

13.62

73

18.63

14

41.46

64

48.06

24

13.80

74

18.69

15

41.76

65

48.13

25

13.98

75

18.75

16

42.04

66

48.20

26

14.15

76

18.81

17

42.30

67

48.26

27

14.31

77

18.86

18

42.55

68

48.33

28

14.47

78

18.92

19

42.79

69

48.39

29

14.62

79

18.98

20

43.01

70

48.45

30

14.77

80

19.03

21

43.22

71

48.51

31

14.91

81

19.08

22

43.42

72

48.57

32

15.05

82

19.14

23

43.62

73

48.63

33

15.19

83

19.19

24

43.80

74

48.69

34

15.31

84

19.24

25

43.98

75

48.75

35

15.44

85

19.29

26

44.15

76

48.81

36

15.56

86

19.34

27

44.31

77

48.86

37

15.68

87

19.40

28

44.47

78

48.92

38

15.80

88

19.44

29

44.62

79

48.98

39

15.91

89

19.49

30

44.77

80

49.03

40

16.02

90

19.54

31

44.91

81

49.08

41

16.13

91

19.59

32

45.05

82

49.14

42

16.23

92

19.64

33

45.19

83

49.19

43

16.33

93

19.68

34

45.31

84

49.24

44

16.43

94

19.73

35

45.44

85

49.29

45

16.53

95

19.78

36

45.56

86

49.34

46

16.63

96

19.82

37

45.68

87

49.40

47

16.72

97

19.87

38

45.80

88

49.44

48

16.81

98

19.91

39

45.91

89

49.49

49

16.90

99

19.96

40

46.02

90

49.54

50

16.99

100

20.00

41

46.13

91

49.59

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